Geodesic
Some Remarks on Limits in Categories
Canadian mathematical bulletin, Tome 5 (1962) no. 2, pp. 133-146

Voir la notice de l'article provenant de la source Cambridge University Press

The object of this paper is to give simple criteria for the existence of direct limits in categories and for the permuting of a functor with direct limits.The notion of direct limit of a diagram that we shall use here is essentially that of Kan (4), which is more general than the usual notion of direct limit of a directed diagram.Our treatment is based on the fact (Lemma 2) that the usual process for constructing the direct limit of a diagram of modules, which consists in taking a direct sum of the modules in the diagram and then considering a certain homomorphic image of this direct sum (3, p. 220), is essentially, once certain notions have been properly generalized, the only process for constructing the direct limit of any diagram in any category. 
Maranda, J. M. Some Remarks on Limits in Categories. Canadian mathematical bulletin, Tome 5 (1962) no. 2, pp. 133-146. doi: 10.4153/CMB-1962-015-0
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[4] 4. Kan, D. M., Adjoint Functors, Trans, of the Am. Math. Soc., Vol. 87 (1958), pp. 294-329. Google Scholar

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